TSTP Solution File: SET692+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET692+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 02:55:25 EDT 2022
% Result : Theorem 0.71s 1.39s
% Output : Proof 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET692+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 08:54:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/1.40
% 0.71/1.40 %-----------------------------------------------------
% 0.71/1.40 fof(thI19, conjecture, ! [_34677, _34680] : (equal_set(_34677, intersection(_34677, _34680)) <=> subset(_34677, _34680)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI19)).
% 0.71/1.40 fof(subset, axiom, ! [_34919, _34922] : (subset(_34919, _34922) <=> ! [_34940] : (member(_34940, _34919) => member(_34940, _34922))), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.71/1.40 fof(equal_set, axiom, ! [_35147, _35150] : (equal_set(_35147, _35150) <=> subset(_35147, _35150) & subset(_35150, _35147)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', equal_set)).
% 0.71/1.40 fof(intersection, axiom, ! [_35336, _35339, _35342] : (member(_35336, intersection(_35339, _35342)) <=> member(_35336, _35339) & member(_35336, _35342)), file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', intersection)).
% 0.71/1.40
% 0.71/1.40 cnf(1, plain, [-(7 ^ []), equal_set(4 ^ [], intersection(4 ^ [], 5 ^ []))], clausify(thI19)).
% 0.71/1.40 cnf(2, plain, [-(7 ^ []), -(subset(4 ^ [], 5 ^ []))], clausify(thI19)).
% 0.71/1.40 cnf(3, plain, [-(6 ^ []), subset(4 ^ [], 5 ^ [])], clausify(thI19)).
% 0.71/1.40 cnf(4, plain, [-(6 ^ []), -(equal_set(4 ^ [], intersection(4 ^ [], 5 ^ [])))], clausify(thI19)).
% 0.71/1.40 cnf(5, plain, [6 ^ [], 7 ^ []], clausify(thI19)).
% 0.71/1.40 cnf(6, plain, [-(_7919 = _7919)], theory(equality)).
% 0.71/1.40 cnf(7, plain, [-(subset(_10132, _10263)), subset(_10065, _10198), _10065 = _10132, _10198 = _10263], theory(equality)).
% 0.71/1.40 cnf(8, plain, [-(subset(_14677, _14733)), -(member(1 ^ [_14733, _14677], _14677))], clausify(subset)).
% 0.71/1.40 cnf(9, plain, [-(subset(_14677, _14733)), member(1 ^ [_14733, _14677], _14733)], clausify(subset)).
% 0.71/1.40 cnf(10, plain, [subset(_14677, _14733), member(_14847, _14677), -(member(_14847, _14733))], clausify(subset)).
% 0.71/1.40 cnf(11, plain, [equal_set(_15138, _15189), -(subset(_15138, _15189))], clausify(equal_set)).
% 0.71/1.40 cnf(12, plain, [-(equal_set(_15138, _15189)), subset(_15138, _15189), subset(_15189, _15138)], clausify(equal_set)).
% 0.71/1.40 cnf(13, plain, [member(_15864, intersection(_15923, _15981)), -(member(_15864, _15923))], clausify(intersection)).
% 0.71/1.40 cnf(14, plain, [member(_15864, intersection(_15923, _15981)), -(member(_15864, _15981))], clausify(intersection)).
% 0.71/1.40 cnf(15, plain, [-(member(_15864, intersection(_15923, _15981))), member(_15864, _15923), member(_15864, _15981)], clausify(intersection)).
% 0.71/1.40
% 0.71/1.40 cnf('1',plain,[6 ^ [], 7 ^ []],start(5)).
% 0.71/1.40 cnf('1.1',plain,[-(6 ^ []), subset(4 ^ [], 5 ^ [])],extension(3)).
% 0.71/1.40 cnf('1.1.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []))],extension(8,bind([[_14733, _14677], [5 ^ [], 4 ^ []]]))).
% 0.71/1.40 cnf('1.1.1.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 4 ^ []), subset(4 ^ [], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 5 ^ [])))],extension(10,bind([[_14677, _14847, _14733], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 5 ^ [])]]))).
% 0.71/1.40 cnf('1.1.1.1.1',plain,[-(subset(4 ^ [], intersection(4 ^ [], 5 ^ []))), subset(4 ^ [], intersection(4 ^ [], 5 ^ [])), 4 ^ [] = 4 ^ [], intersection(4 ^ [], 5 ^ []) = intersection(4 ^ [], 5 ^ [])],extension(7,bind([[_10065, _10132, _10198, _10263], [4 ^ [], 4 ^ [], intersection(4 ^ [], 5 ^ []), intersection(4 ^ [], 5 ^ [])]]))).
% 0.71/1.40 cnf('1.1.1.1.1.1',plain,[-(subset(4 ^ [], intersection(4 ^ [], 5 ^ []))), equal_set(4 ^ [], intersection(4 ^ [], 5 ^ []))],extension(11,bind([[_15138, _15189], [4 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.71/1.40 cnf('1.1.1.1.1.1.1',plain,[-(equal_set(4 ^ [], intersection(4 ^ [], 5 ^ []))), -(6 ^ [])],extension(4)).
% 0.71/1.40 cnf('1.1.1.1.1.1.1.1',plain,[6 ^ []],reduction('1')).
% 0.71/1.40 cnf('1.1.1.1.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(6,bind([[_7919], [4 ^ []]]))).
% 0.71/1.40 cnf('1.1.1.1.1.3',plain,[-(intersection(4 ^ [], 5 ^ []) = intersection(4 ^ [], 5 ^ []))],extension(6,bind([[_7919], [intersection(4 ^ [], 5 ^ [])]]))).
% 0.71/1.40 cnf('1.1.1.1.2',plain,[member(1 ^ [5 ^ [], 4 ^ []], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []))],extension(14,bind([[_15923, _15864, _15981], [4 ^ [], 1 ^ [5 ^ [], 4 ^ []], 5 ^ []]]))).
% 0.71/1.40 cnf('1.1.1.1.2.1',plain,[member(1 ^ [5 ^ [], 4 ^ []], 5 ^ []), -(subset(4 ^ [], 5 ^ []))],extension(9,bind([[_14677, _14733], [4 ^ [], 5 ^ []]]))).
% 0.71/1.40 cnf('1.1.1.1.2.1.1',plain,[subset(4 ^ [], 5 ^ [])],reduction('1.1')).
% 0.71/1.40 cnf('1.2',plain,[-(7 ^ []), equal_set(4 ^ [], intersection(4 ^ [], 5 ^ []))],extension(1)).
% 0.71/1.40 cnf('1.2.1',plain,[-(equal_set(4 ^ [], intersection(4 ^ [], 5 ^ []))), subset(4 ^ [], intersection(4 ^ [], 5 ^ [])), subset(intersection(4 ^ [], 5 ^ []), 4 ^ [])],extension(12,bind([[_15189, _15138], [intersection(4 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.71/1.40 cnf('1.2.1.1',plain,[-(subset(4 ^ [], intersection(4 ^ [], 5 ^ []))), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ []))],extension(8,bind([[_14733, _14677], [intersection(4 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.71/1.40 cnf('1.2.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ []), -(member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], intersection(4 ^ [], 5 ^ []))), member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 5 ^ [])],extension(15,bind([[_15923, _15864, _15981], [4 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 5 ^ []]]))).
% 0.71/1.40 cnf('1.2.1.1.1.1',plain,[member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], intersection(4 ^ [], 5 ^ [])), -(subset(4 ^ [], intersection(4 ^ [], 5 ^ [])))],extension(9,bind([[_14677, _14733], [4 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.71/1.40 cnf('1.2.1.1.1.1.1',plain,[subset(4 ^ [], intersection(4 ^ [], 5 ^ []))],reduction('1.2.1')).
% 0.71/1.40 cnf('1.2.1.1.1.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 5 ^ [])), subset(4 ^ [], 5 ^ []), member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ [])],extension(10,bind([[_14733, _14847, _14677], [5 ^ [], 1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ []]]))).
% 0.71/1.40 cnf('1.2.1.1.1.2.1',plain,[-(subset(4 ^ [], 5 ^ [])), -(7 ^ [])],extension(2)).
% 0.71/1.40 cnf('1.2.1.1.1.2.1.1',plain,[7 ^ []],reduction('1')).
% 0.71/1.40 cnf('1.2.1.1.1.2.2',plain,[-(member(1 ^ [intersection(4 ^ [], 5 ^ []), 4 ^ []], 4 ^ []))],reduction('1.2.1.1')).
% 0.71/1.40 cnf('1.2.1.2',plain,[-(subset(intersection(4 ^ [], 5 ^ []), 4 ^ [])), -(member(1 ^ [4 ^ [], intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])))],extension(8,bind([[_14733, _14677], [4 ^ [], intersection(4 ^ [], 5 ^ [])]]))).
% 0.71/1.40 cnf('1.2.1.2.1',plain,[member(1 ^ [4 ^ [], intersection(4 ^ [], 5 ^ [])], intersection(4 ^ [], 5 ^ [])), -(member(1 ^ [4 ^ [], intersection(4 ^ [], 5 ^ [])], 4 ^ []))],extension(13,bind([[_15981, _15864, _15923], [5 ^ [], 1 ^ [4 ^ [], intersection(4 ^ [], 5 ^ [])], 4 ^ []]]))).
% 0.71/1.40 cnf('1.2.1.2.1.1',plain,[member(1 ^ [4 ^ [], intersection(4 ^ [], 5 ^ [])], 4 ^ []), -(subset(intersection(4 ^ [], 5 ^ []), 4 ^ []))],extension(9,bind([[_14677, _14733], [intersection(4 ^ [], 5 ^ []), 4 ^ []]]))).
% 0.71/1.40 cnf('1.2.1.2.1.1.1',plain,[subset(intersection(4 ^ [], 5 ^ []), 4 ^ [])],reduction('1.2.1')).
% 0.71/1.40 %-----------------------------------------------------
% 0.71/1.41
% 0.71/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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